Consider the Following to Answer the Question(s) Below

question 31

Multiple Choice

Consider the following to answer the question(s) below:
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. Do these samples indicate that Company B toothbrushes operate more hours on average than Company A toothbrushes?
-The correct null and alternative hypotheses (assuming Company A is group 1 and Company B is group 2) are

• A) H0 : µ1 - µ2 = 0 and HA : µ1 - µ2 > 0.
• B) H0 : µ1 - µ2 > 0 and HA : µ1 - µ2 < 0.
• C) H0 : µ1 - µ2 = 0 and HA : µ1 - µ2 < 0.
• D) H0 : µ1 - µ2 = 0 and HA : µ1 - µ2 ≠ 0.
• E) H0 : µ1 - µ2 < 0 and HA : µ1 - µ2 > 0.

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Definitions:

June

The sixth month of the year in the Gregorian calendar.

Variable Overhead Efficiency Variance

The difference between the actual variable overheads incurred and the standard variable overheads expected for the actual production, due to efficiency.

February

The second month of the year in the Gregorian calendar, typically consisting of 28 days, or 29 in leap years.

Standard Hours Allowed

The predetermined amount of time expected to be required to produce a certain quantity of output under normal working conditions.